PUBLICATIONS/PREPRINTS 

Many papers can be accessed on the arXiv 


CV and List of Publication (.pdf file) 

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(80.) On certain identities involving Nahm-type sums with double poles  

S. Kanade,  A. Milas, M. Russell, submitted (2021)





(79.) Graph schemes, graph series, and modularity 

K.Bringmann,  C.Jennings-Shaffer, A.Milas, submitted (2021)




(78.) Higher depth false modular forms 

K. Bringmann, J. Kaszian, A.Milas and C. Nazaroglu submitted 




(77.) Integral representation of rank two false theta functions and modularity 

K. Bringmann, J. Kaszian, A.Milas and C. Nazaroglu, Res.Math.Sci. (2021)




(76.) Lie Groups, Number Theory, and Vertex Algebras 

Editors: D. Adamovic, A. Dujella, A.Milas, P. Pandzic 

Proceedings of the Dubrovnik Conference "Representation Theory XVI", June 2019. Vol 758 Contemporary Mathematics (2021)




(75.) Jet Schemes, Quantum Dilogarithm, and Feigin-Stoyanovsky's Principal Subspaces 

H. Li, A.Milas. (2020)




(74.) Permutation orbifolds N=1 and N=2 vertex algebras as W-algebras

H. Li, A.Milas, and J. Wauchope 

Communications in Algebra (2020)




(73.) Permutation orbifolds of the Virasoro vertex algebra and W-algebras 

A.Milas, M. Penn and C. Sadowski

Journal of Algebra (2020)




(72.) On parafermion vertex algebras sl(2)(-3/2) and sl3(-3/2) 

D.Adamovic, A.Milas, and Q. Wang. 

Communications in Contemporary Mathematics (2020)




(71.) Further q-series identities for false theta functions and characters > 

C.Jennings-Shaffer, A.Milas 

Contemporary Mathematics (2020) 


.pdf 


(70.) On q-series identities for false theta functions > 

C.Jennings-Shaffer, A.Milas. 

Advances in Mathematics (2020) 




(69.) S_3-permutation orbifolds of sl(2) vertex algebras 

A.Milas, M.Penn 

Glasnik Matematicki (2021). 




(68.) On some vertex algebras related to W(sl4,f) 

D. Adamovic, A.Milas, and M.Penn 

Contemporary Mathematics (2020). 

.pdf



(67.) Higher depth quantum modular forms and plumbed 3-manifolds 

K. Bringmann, K. Mahlburg and A.Milas 

Letters in Mathematical Physics (2020)

arXiv



(66.) Quantum modular forms and plumbing graphs of 3-manifolds 

K. Bringmann, K. Mahlburg and A.Milas 

Journal of Combinatorial Theory - Series A. (2020)

arXiv



(65.) On some vertex algebras related to V_{-1}(sl(n)) and their characters 

A.Milas, D. Adamovic 

Transformation Groups (2021) 

arXiv



(64.)Permutation Orbifolds of the Heisenberg Vertex Algebra 

A.Milas, M.Penn and H. Shao 

to appear in Journal of Mathematical Physics (2019) 

arXiv



(63.) Lie Algebras, Vertex Operator Algebras, and Related Topics: Conference in Honor of J. Lepowsky and R. Wilson 

KC Misra, A Milas, E Jurisich, K Barron 

Contemporary Mathematics 695 (2017), American Mathematical Society 




(62.) S_3-permutation orbifolds of fermionic vertex algebras 

A.Milas, M.Penn and J. Wauschope 

to appear in IndAM Proceedings Series (2019). 

.pdf



(61.) On characters of L(-Lambda_0) modules 

K. Bringmann, K. Mahlburg and A.Milas 

to appear in Comm. Contemp. Math. (2019) 

arXiv



(60.) Rank two false theta functions and negative matrix index Jacobi forms 

K. Bringmann, J. Kaszian, A.Milas, S. Zwegers 

Advances in Applied Mathematics (2020) 

.pdf 



(59.) Some examples of higher depth vector-valued quantum modular forms 

K. Bringmann, J. Kaszian and A.Milas 

submitted to the Proceedings of the Rompa Conference (2018) 

.pdf 



(58.) Vector-valued higher depth quantum modular forms and higher Mordell integrals 

K. Bringmann, J. Kaszian and A.Milas 

submitted arXiv (2018) 

arXiv



(57.) Higher depth quantum modular forms, multiple Eichler integrals, and false theta functions 

K. Bringmann, J. Kaszian and A.Milas 

to appear in Res.Math.Sci. (2019) 

arXiv



(56.) Higher rank partial and false theta functions and representation theory 

T. Creutzig and A.Milas 

published in Advances in Mathematics (2017) 

arXiv



(55.)Logarithmic link invariants of U^H_q(sl_2) and asymptotic dimensions of singlet vertex algebras 

T. Creutzig, A.Milas and M.Rupert 

published in Journal in Pure and Applied Algebra (2017) 

arXiv



(54.)Asymptotic behavior of partial and false Jacobi theta functions and regularized characters 

K. Bringmann, A. Folsom and A.Milas 

Journal of Mathematical Physics (2017) 

arXiv 



(53.)Some applications and constructions of intertwining operators in LCFT 

D.Adamovic and A.Milas 

published in Contemporary Mathematics (2017) 



pdf

(52.)The Lusztig-Macdonald-Wall conjectures and q-difference equations 

K. Bringmann, K. Mahlburg and A.Milas 

published in Contemporary Mathematics . (2017) 




(51.)W-algebras, higher rank false theta functions and quantum dimensions 

K. Bringmann, A.Milas 

published in Selecta Mathematics (2016). 

.pdf

SELECTA 


(50.) Vertex algebraic structure of principal subspaces of basic A_(2n)^2 modules 

C. Calinescu, A. Milas and M. Penn 

Journal of Pure and Applied Algebra, 220 (2016), 1752-1784. 



pdf

(49.) Vertex operator algebras and constant term identities 

D. Adamovic, X. Lin and A.Milas 

SIGMA 11 (2015), 019, 16 pages. 




(48.) On Fourier expansion of Bloch-Okounkov n-point functions 

K. Bringmann and A.Milas 

Journal of Combinatorial Theory A 136 (2015) 201-219. 




(47.)On regularized quantum dimensions of the singlet vertex operator algebra and false theta functions 

T. Creutzig, A.Milas and S. Wood 

accepted for publication, IMRN (2016). 


IMRN 


(46.) W-algebras, false theta functions and quantum modular forms 

K. Bringmann and A.Milas 

IMRN , 21 (2015), 11351-11387. 

.pdf



(45.) Principal subspaces for A_2^2 

C. Calinescu, J. Lepowsky and A.Milas 

International Journal of Mathematics 25, 1450063, (2014), 44 pp. 




(44.) False Theta Functions and the Verlinde formula 

T. Creutzig and A.Milas 

Advances in Mathematics, 262 (2014), 520-554. 




(43.) Logarithmic Conformal Field Theory and Vertex Operator (Super)Algebras 

D.Adamovic and A.Milas 

J.Phys. A , (special issue: Logarithmic Conformal Field Theory) 46 (2013), no. 49, 494005, 23 pp. 




(42.) ADE subalgebras of the triplet vertex algebra; D-series 

D. Adamovic, X. Lin and A.Milas 

International Journal of Mathematics, 25 (2014), no. 1, 1450001, 34 pp. 




(41.) ADE subalgebras of the triplet vertex algebra W(p): A-series. 

D. Adamovic, X. Lin and A.Milas 

Communications in Contemporary Mathematics, 15, 1350028 (2013) 30 pp. 




(40.) Characters of modules of irrational vertex operator algebras 

A.Milas 

Conformal Field Theory, Automorphic Forms and Related Topics CFT 2011, Heidelberg, Vol.8 (2014), 1-17. 




(39.) Representation theory of $A(p)$ and $A_{2,p}$ vertex operator (super)algebras. 

D. Adamovic and A.Milas 

Contemporary Mathematics, 602, Amer. Math. Soc. (2013), 23-38. 




(38.) Some nonstandard representation of vertex operator algebras, 

A.Milas 

2010 preprint, unpublished 




(37.) C_2-cofinite vertex algebras and their logarithmic modules, 

A.Milas and D. Adamovic, 

Proceedings of the conference "Conformal Field Theories and Tensor Categories, Beijing Mathematical Lectures from Beijing University, Vol. 2, ( 2014), 18 pp. 

pdf 



(36.) Lattice vertex algebras and combinatorial bases: general case and W-algebras 

A.Milas and M. Penn, 

New York Journal of Mathematics , 18, (2012) 621-650. 




(35.) An explicit construction of logarithmic modules for the vertex algebra W_{p,p'} , 

A.Milas and D. Adamovic, 

Journal of Mathematical Physics , 53, 073511 (2012). 




(34.) The 3-state Potts model and Rogers-Ramanujan series , 

A. Feingold and A.Milas, 

Central European Journal of Mathematics , 11, (2013) 1-16. 




(33.) On W-algebra extensions of (2,p) minimal models: p > 3 , 

D. Adamovic and A.Milas 

Journal of Algebra , 344 (2011), 313-332. 

arxiv



(32.) The structure of Zhu's algebras for certain W-algebras , 

D. Adamovic and A.Milas 

Advances in Mathematics , 227, (2011) 2425-2456. 

arxiv

AIM 


(31.) Vertex-algebraic structure of the principal subspaces of level one modules for the untwisted affine Lie algebras of types A,D,E , 

C. Calinescu, J. Lepowsky and A.Milas 

Journal of Algebra 323 (2010), no. 1, 167-192. 

arxiv



(30.) On W-algebras associated to (2,p) minimal models and their representations , 

D. Adamovic and A.Milas 

I.M.R.N. (2010) 20, 3896-3934. 

arxiv



(29.) Lattice construction of logarithmic modules for certain vertex algebras, 

D. Adamovic and A. Milas 

Selecta Mathematica (NS) , 15 (2009), no. 4, 535-561. 

arxiv



(28.) An analogue of modular BPZ equation in logarithmic (super)conformal field theory 

D. Adamovic and A. Milas 

Contemporary Mathematics . (2009) 497, 1-17. 

arxiv



(27.) The N=1 triplet vertex operator superalgebras: twisted sector 

D. Adamovic and A. Milas 

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (Special Issue on Kac-Moody Algebras and Applications) 

(2008) 087, 24 pp. 

arxiv

SIGMA


(26.) The N=1 triplet vertex operator superalgebras 

D. Adamovic and A. Milas 

Communications in Mathematical Physics , (2009) 288, 225-270. 

arxiv



(25.) On the triplet vertex algebra W(p) 

D. Adamovic and A. Milas 

Advances in Mathematics , 217 (2008), 2664-2699. 

arxiv 

AIM


(24.) Vertex-algebraic structures of principal subspaces of certain standard modules, II 

C. Calinescu, J. Lepowsky and A. Milas 

to appear in Journal of Pure and Applied Algebra . 

arxiv

JPAA


(23.) Logarithmic intertwining operators and W(2,2p-1)-algebras 

D. Adamovic and A. Milas 

Journal of Mathematical Physics , 48 073503 (2007). 

arxiv

JMP


(22.) Vertex-algebraic structures of principal subspaces of certain standard modules, I 

C. Calinescu, J. Lepowsky and A. Milas 

International Journal of Mathematics, 19 (2008), 71-92. 

arxiv

IJM


(21.) Logarithmic intertwining operators and vertex operators 

A. Milas 

Communications in Mathematical Physics , 277 (2008) 497-529. 

arxiv

CMP


(20.) Modular invariance, modular identities and supersingular j-invariants, 

A. Milas 

Mathematical Research Letters , 13 (2006), 729-746. 

arxiv

MRL


(19.) On certain automorphic forms associated to rational vertex operator algebras 

A. Milas 

London Math. Soc. Lecture Notes , to appear. 


LMS


(18.) Number theoretic properties of Wronskians of Andrews-Gordon series 

A. Milas, E. Mortenson and K. Ono 

International Journal of Number Theory , 4 (2008), 1-15. 

arxiv

IJNT


(17.) Characters, supercharacters and Weber modular functions 

A. Milas 

Journal fur die reine und angewandte Mathematik (Crelle's Journal), 608 (2007), 35-64. 

.pdf

CRELLE


(16.) Modular forms and almost linear dependence of graded dimensions 

A. Milas 

Contemporary Mathematics , 442 (2007) 411-424. 

arxiv

CONM


(15.) Twisted vertex operators and Bernoulli polynomials 

B. Doyon, J. Lepowsky and A. Milas 

Communications in Contemporary Mathematics , 8 (2006), 247-307. 

arxiv

CCM


(14.) Virasoro algebra, Dedekind eta-function and Specialized Macdonald's identities 

A. Milas 

Transformation Groups , 9 (2004), 273-288. 

arxiv

TG


(13.) Ramanujan's "Lost Notebook" and the Virasoro Algebra 

A. Milas 

Communications in Mathematical Physics, 251 (2004) 567-588. 

arxiv

CMP


(12.) Rogers--Selberg's recursion, Gordon-Andrews identities and intertwining operators 

S. Capparelli, J. Lepowsky and A. Milas 

The Ramanujan Journal , 12 (2006) 377-395. 

arxiv

RJ


(11.) Twisted modules and generalized Bernoulli polynomial 

B. Doyon, J. Lepowsky and A. Milas 

International Mathematical Research Notices , 44 (2003), 2391-2408. 

arxiv

IMRN


(10.) Rogers Ramanujan recursion and intertwining operators 

S. Capparelli, J. Lepowsky and A. Milas 

Communications in Contemporary Mathematics , 5 (2003), 1-20. 

arxiv

CCM


(9.) Formal differential operators, vertex operator algebras and zeta--values, II 

A. Milas 

Journal of Pure and Applied Algebra , 183 (2003), 191-244. 

arxiv

JPAA


(8.) Formal differential operators, vertex operator algebras and zeta--values, I 

A. Milas 

Journal of Pure and Applied Algebra , 183 (2003), 129-190. 

arxiv

JPAA


(7.) Weak modules and logarithmic intertwining operators 

A. Milas 

Contemporary Mathematics , 297 (2002), 201--227. 

arxiv

CONM


(6.) Fusion rings for degenerate minimal models 

A. Milas 

Journal of Algebra , 254 (2002), 300--335. 

arxiv

JA


(5.) Correlation functions, differential operators and zeta--functions 

A. Milas 

The Fields Institute Communications Series , 39 (2003), 139-167. 


FICS


(4.) Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, II 

Y.-Z. Huang and A. Milas 

Transactions of the American Mathematical Society , 354 (2002), 363--385. 

arxiv

TAMS


(3.) Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, I 

Y.-Z. Huang and A. Milas 

Communications in Contemporary Mathematics , 4 (2002), no. 2, 327--355. 

arxiv

CCM


(2.) Vertex operator algebras associated to modular invariant representations 

A. Milas 

Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras: Proceedings of the XXIst International Colloquium on group theoretical methods in physics, World Scientific (1997). 




(1.) Vertex operator algebras associated to modular invariant representations for A_1^1 

D. Adamovic and A. Milas 

Mathematical Research Letters 2 (1995), 563--575. 

arxiv

MRL